{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b5626958",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "240da0be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "numpy.ndarray"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 载入数据\n",
    "data=np.genfromtxt(\"./data.csv\",delimiter=',')\n",
    "type(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b6f1f46b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_data=data[:,0]\n",
    "y_data=data[:,1]\n",
    "plt.scatter(x_data,y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "b3f330ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 学习率 learning rate\n",
    "lr=0\n",
    "\n",
    "# 截距\n",
    "b=0\n",
    "\n",
    "# 斜率\n",
    "k=0\n",
    "\n",
    "# 最大迭代次数\n",
    "epochs=50\n",
    "\n",
    "# 用最小二乘法求代价函数\n",
    "def compute_error(b,k,x_data,y_data):\n",
    "    totalError=0\n",
    "    for i in range(0,len(x_data)):\n",
    "        totalError+=(y_data[i]-(x_data[i]*k+b))**2\n",
    "    return totalError/float(len(x_data))/2\n",
    "\n",
    "# 用梯度下降法求解线性回归\n",
    "def gradient_descent_runner(x_data,y_data,b,k,lr,epochs):\n",
    "#     计算总数据量\n",
    "    m=float(len(x_data))\n",
    "    for i in range(epochs):\n",
    "        b_grad=0\n",
    "        k_grad=0\n",
    "        \n",
    "#         计算梯度总和再求平均\n",
    "        for j in range(0,len(x_data)):\n",
    "            b_grad+=(((k*x_data[j])+b)-y_data[j])*(1/m)\n",
    "            k_grad+=(((k*x_data[j])+b)-y_data[j])*x_data[j]*(1/m)\n",
    "        \n",
    "#         更新b和k\n",
    "        b=b-(lr*b_grad)\n",
    "        k=k-(lr*k_grad)\n",
    "        if i%5==0:\n",
    "            print(f\"epochs: {i}\")\n",
    "            plt.plot(x_data,y_data,'b.')\n",
    "            plt.plot(x_data,b+x_data*k,'r')\n",
    "            plt.show()\n",
    "    return b,k\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "68770019",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running...\n",
      "\n",
      "\n",
      "开始 b=0,k=0,error=2782.5539172416056\n",
      "\n",
      "\n",
      "epochs: 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 5\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 10\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 15\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 20\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 25\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 30\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 40\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 45\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "经过50次迭代，当前 b=0.030569950649287983,k=1.4788903781318357,error=56.32488184238028\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 学习率 learning rate\n",
    "lr=0.0001\n",
    "\n",
    "# 截距\n",
    "b=0\n",
    "\n",
    "# 斜率\n",
    "k=0\n",
    "\n",
    "# 最大迭代次数\n",
    "epochs=50\n",
    "\n",
    "total_error=0\n",
    "total_error=compute_error(b,k,x_data,y_data)\n",
    "print(\"running...\")\n",
    "print(\"\\n\")\n",
    "print(f\"开始 b={b},k={k},error={total_error}\")\n",
    "print(\"\\n\")\n",
    "\n",
    "b,k=gradient_descent_runner(x_data,y_data,b,k,lr,epochs)\n",
    "total_error=compute_error(b,k,x_data,y_data)\n",
    "print(\"\\n\")\n",
    "\n",
    "print(f\"经过{epochs}次迭代，当前 b={b},k={k},error={total_error}\")\n",
    "print(\"\\n\")\n",
    "\n",
    "plt.plot(x_data,y_data,'b.')\n",
    "plt.plot(x_data,b+x_data*k,'r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "57fe74c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9f1d03ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OAQoAIAl9PrrKdMUPckcNCgAggT4fqZmy+3JYsMwYACCJnX3tyufuy37HMmMAQEbY2de+oO1JZCpqUAAAGfX5ALxAgAIAoM8HjEOKB4CjyM/7E30+YBoCFACOYQWIf2Wzsy/gJlI8ABzBTq/+Rp8PmIYABUDO0q0AkTpXgNDwy2zxPh+xaHIaJxYtYokxPEeKB0DO2Ok1OOzs7At4gQAFQM5YARIs9PmACUjxAMgZK0AAOI0ABUDO2OkVgNMIUADkjBUgmWPHYKBn1KAAcAQ7vdpHvxggPXYzBuAoOsn2jB2DEWbsZgwgb1gBkho7BhPAwj4CFADwSNj7xZDaQiYokgWQQOGmu8LcL4atEJApZlAASOLTrRfC2i8mX6kt0kn+RoACIGXhZvzTLYWb6dm5GYZ1x+B8pLYIuP2PAAUIOQo3c2f3ZhjvF/Pg8p2KSEnnPMj9YrxObRFwBwM1KEDIZfLpFl1lWluRasfggQP66CfTRzh64zSlpsjL1BY7awcHMyhAyIWlcNONeoRsZ5+ury5XR4f0vVfrdPjoSUnS4aOn9IPfv6OCgogjQYpJKQ4vU1thXykVJMygACEXhsLNNXUNGrfgbU1bukUzVtZq2tItGrfg7ZxXjmQ7+7SmrkEPr9iZCE7inFrRYtqKGS+3QghLwB0GBChAyAVlo79U6Qw3b9bZ3AzdTkGYmuJIldqKRYscrQkJQ8AdFqR4gJALQuFmqnTG01Mu0Q9+/45rBcDZ3AzdTkGYnOK4vrpck6piri79DetKqSBiBgWAZ59u3dDTDMlDK/7oagFwNrNPbqcgTE9xxLdCuGn4ZzX6okGOB77srB0czKAAkOTNp1un2Uln2JHtzTqb2Se3UxCkONhZOygIUAAk+G2jv3TpDLtyuVlnejN0OwVBiqOTiQE3nW0zQ4ACwLdyTVNEJJUO6KvG5uPavO9Q1jeMTG6Gbtf8BKGmyCkmBdwmLfv2i4hlWb7rVtPS0qJoNKrm5maVlJTkezgA8mTzvkOatnSLrWPPvFl3x8sbhts3LG6I5kjV2TYeIppe5+WkTO7fBCgAfKu9w9K4BW+nTWc8PaVKP/j9nrTpIK9vGG5P+ff0+qQbvBH/G031txf/G90469pQnP9M7t+keAB04Zebl910RmewYX3aufVUytfzeu8ht1MQqV6f2RXvmLzs23QEKACS+O3mZadItbNz6x9trewx4YbhZoDIRnreMn3Zt8kIUAAk+PXm1VORak9LkXuSrxuGmwEiO1d7j2Xf2aNRGwBJ5rZItytVA7BslyLn44bh9h467FztvaBsJZEPBCgAJAX35pXpTEi+bhheBIikG7xHZ9vsEaAAkBTcm1cmMyH5vGF4ESCSbsgPP28lkU/UoACQFNyb16jKUp3Vv48+PpZ69U5cPluhexEgpjsXYekymw8mdrY1HQEKAEnBbZG+bk9j2uDknrEXaFJVLK83DC8CxHTnwhLpBjeZ1NnWD0jxAJAUzFx5vK6jJwP799FTU6pc2Vk3E24XU9o5F2f176NJVbGsXh9wGgEKgISg5crtrOA5cuyUEYW/bgeIds7Fx4acC0AixQMk8UsHVTcFKVfut8LfTHdGzoTfzgVAgAJ8ym8dVN0UlFy5Hwt/3QoQ7b7HD//nWE6/B3CK4ymev/71r/re976nyspK9evXTxdeeKG+//3vq6OjI3GMZVmaO3euKioq1K9fP02YMEG7d+92eiiAbW43yEJ+eNEkq73D0uZ9h/Rq7UfavO+QI43sUjWdy2U86c5F3KK33uXvHUZwfAZlwYIFeuGFF7Rs2TJdeuml2r59u775zW8qGo1qxowZkqTnn39eCxcu1EsvvaSLL75YzzzzjCZNmqS9e/equLjY6SEBPaL9d3DZ3Uww2+tq2qxbuvHMmVqlB5bvTPs6/L3DBI7PoGzevFk33XSTpkyZogsuuEBf+9rXNHnyZG3fvl1S5+zJokWL9NRTT+nmm29WdXW1li1bpmPHjmnFihVODwdIy7QOqm58Is+3fL4ntwp/3Zx1y+Z82RnP9dXlevS6oT2+jl87BiN4HJ9BGTdunF544QW9++67uvjii/WnP/1JGzdu1KJFiyRJ9fX1amxs1OTJkxM/U1hYqPHjx2vTpk26//77u7xmW1ub2traEt+3tLQ4PWyEmEnFg6Z9IneCCe/J6boON2fdsjlfmYzngrMH2BoHxbLIN8dnUGbNmqVp06bp85//vPr06aMRI0Zo5syZmjZtmiSpsbFRklRWVpb0c2VlZYnnzlRTU6NoNJr4GjJkiNPDRoiZUkgZxDoYk95TLnUdZ3Jr1i3b85XJeEz5ewfScTxA+bd/+zctX75cK1as0M6dO7Vs2TL94z/+o5YtW5Z0XCSS/D8Hy7K6PBY3e/ZsNTc3J74OHDjg9LARYibsNur3nYS7E8T3FOfGrFsu5yuT8Zjw9w7Y4XiA8p3vfEff/e53dfvtt2vYsGH6+te/rkcffVQ1NTWSpFiss0vhmbMlTU1NXWZV4goLC1VSUpL0BTjFhA6qptXBOCGI7ynOjVmITM7XmTUqZ3+m0PZ4TPh7B+xwvAbl2LFjKihIjnt69eqVWGZcWVmpWCymdevWacSIEZKkkydPav369VqwYIHTwwFscbNBlh0m1cE4JYjvKc6NfYvsnoe39jTqsf9Xm/x3WlKos/r3UfOxU7bGk++/d6fRYDGYHA9Qpk6dqmeffVbnnXeeLr30Uv3xj3/UwoULdc8990jqTO3MnDlT8+fP19ChQzV06FDNnz9f/fv31/Tp050eDmBbPjuoBrEuIIjvKc6N5ct2z8Mv/vBhl8f+u6UtMQa743Hr793rYMGEImy4I2JZlqMJ4NbWVj399NNatWqVmpqaVFFRoWnTpukf/uEf1LdvX0md9Sbz5s3Tz372Mx05ckRXXXWVfvKTn6i6utrW72hpaVE0GlVzczPpHgRCe4elcQveTvuJfOOsa33zyTCI7+lMTt4c7ZyvSERKVbITkRTt30dFvXupsSU/N2uvg4V4UfGZpyT+1+TH/aOCLpP7t+MBihcIUBBE8f/ZSt1/Avbj/2yD+J7O5OSMQU/ny+7/qH9971UqKIh4PgvodbAQD+hS1e0EIQAOokzu3+xmDBgiaDsJS8F8T2dycvlyT+frnrEX2HqN/zna5th47MrHiq0gF2GjE5sFAgbJpC7AL4WBQdod2QupztfW+sP6l27qT86Uj5qeTIIFpzahDHIRNjoRoACGsbOTsN8KA4OyO7JXujtfbqwccko+goUgF2GjEykewGdM6s4K75jcvyQfwQIN54KPAAXwkSB3Z0V6ptb05CNYMDlggzNI8QA+ko9cP8xiYk2PG31h7AhawzkkI0ABfCRshYEmFgKbMKZ81fT09N7zFSyYGLDBGQQogI+EqTDQxEJgE8fkFTvvPV/BAkXYwUSjNsBHwtCdVTKzQ6iJY/JKtu/dhNkmmIVGbUBAhaEw0MRCYBPH5JVs3/uaugaNW/C2pi3dohkrazVt6RaNW/A2q8xgGwEK4DOmruRwiokdQk0ck1eyee8shYcTqEEBfCjIhYEmFgKbOCY3nZ6aee+/W239TPy9p5txiahzxmVSVSwQf69wDwEK4FNOFQaaVidgYiGwiWNyS3fFsHbE3ztL4eEUAhQgxExclWJCS/czg7Yrzx+Y9zF5IVUxbE/OfO9hm22CewhQgJBKdTOK1wnkq54lX02/4lIFbTdeXq4XN9TnZUxe6Ck1k0p37z1Ms01wF0WyQAiZviolX4XAPRV3vrihXv/36srQFid3p7v3zh45cAozKEAI+aFOwOtCYDvFna/9qUHrv3ONduw/YkzNjlPsplz+/prPaWjZZ1K+93zPgCE4CFCAEPJLnYCXHULtBm079h8JZHGn3ZTL2M+dnfb9s0cOnECAAoSQ13UCXqwUyvV3+CVoc4vTxclBXgoPbxCgACHk5UoZL1YKOfE7wl7c6UZqhj1ykAuKZIEQ8qplvt2Oou0dljbvO6RXaz/S5n2HMirOdaprKcWdwe9SDH9hs0AgxNyc3YhvbJiqriM+S/P0lEv0g9+/k9UY7P4Ou5snxoMdqfsZhHQ3adOa3mUrKO8D5snk/k2AAoScWzejzfsOadrSLVn9rN2AwO7v+Nf7vmA71ZBt0OZl0zsCCPhVJvdvalCAkHOrTiCXYlK7e7a4UdiaTXGnl03vTOz+C7iBGhQArsi1mNTODsFuFbbGg7abhn9Woy8a1GNw4mXTO3YJRpgQoABwRbqiU7t6mv0wobA1k6Z3uTC9+2+2cimQRrCR4gHginTLVu3ehnqa/TCha6lX/VP80P03U6Sr0BNmUOAqPh2FW0/LVn86/QpHZj8yXRrr9N+kV/1TgtZIjnQV0mEGBa7h0xGknotOCwrkyOyH3cLW7v4mSwf00TM3Vesrl1UkHstklYxXTe+C1EjOzr5H6QqkEXwsM4YrUq1qsLt8FOHhVSCb6m8y7v6rKzX7K1VZjSfX/il2xHu+pAuE7PZ8ySc3lofDH1hmjLzi0xEy4cWeLT39Tcb9bEO9Oizp5/9Zn/FyYS82xzOh3sYpQUtXwR0EKHBcEIv54C6392xJ9zcZ9/ONXYMTyV5gbTfQyqXJWlB2CQ5SugruIUCB4/h0BNPY/VvrKeFtJ7BOF2g5kc4Kwi7BXm5WCf9iFQ8cx6cjmMbJv7VsA2snV61k0kjORF5tVgl/I0CB40xongWcblRlqUoH9HHktbIJdoLaZC0X7JyMdEjxwHFBKuZDMPQqiOiZm6r10Io/9nhcQURKFSPkknagLqt7QUhXwT3MoMAVfDqCab5yWYXuv7oy5fMRSfd9sVIROZ92oC4rNb+nq+AeZlCQs1SrEvh0BNPM/kqVLj93oL73ap0OHz2ZePz0QtUR5w10fJUMdVlA5mjUhpzQLRZ+lG6pby5LgVP9vqA0WQNykcn9mwAFWaNbLGCfF91mAdNlcv+mBgVZYVVCeLEBZHaoywIyQw0KssKqhHDyOqXndKol36jLAuwjQEFWWJUQPqlSeun2qcnl9wWxvsnttv5AUJDiQVZYlRAuXqf0nOy6CsCfCFCQFbrFZs+PNRyZpPRyRX0TAIkUD7JEt9jsZJq28LoGI9Xv8zKlR30TAIkABTkIytbvXsm0hsPrGoyefp+XKT3qmwBIBCjIEasS7EmXtoioM20xqSqmXgWRvBSk9vT7fjL9CpVHi9I2GnMipUd9EwCJGhQ4gL000sskbeF1DYad3/eD3+/R01MukeT8PjVnor4JgESAAngik7SFlwWpkv3gaeCAQk8ajcXrmyT3gyEA5iLFA3ggk7SF1zUYmfy+m4Z/1pOUHvVNAAhQAA/E0xZ2ajjszow4VYORac2HV43Ggl7fFLQuuYDTCFAAD2SyLDuTYMYJXv++TPih62o2gUZQu+QCTqIGBfCI3c3ivK7BoOYje2vqGjRuwduatnSLZqys1bSlWzRuwds9drqlSy5gT8SyLN+1Y8xku2bANHY/cZvUB4VP9V2lWpodv5LdFQ63d1gat+DtlEXJ8dmqjbOuJSBEIGVy/yZAAQxmSidZJMs20Ni875CmLd2S9vX/9b4vGJ/ayif+Tv0rk/s3NSiAwbyuwfBDzYcJsm3HT5fc3DHTFx7UoCBQ/LgRX75xzjKXbaBBl9zcUL8TLsygIDD4ZJU5zll2sg00TF4xZbpMt4uA/zGDgkAIwicrr2cygnDO8iXbdvysmMqe1x2WkX8EKPA9p/auyWeqI5vlqrk4+dcOPblql2f7/QRNLoGG3eXmSEb9TviQ4oHvZVuweLp8pjrysXPxk6vqdPjoqZTH2DlnYZdLO/6gd8l1A/U74UOAAt/L5ZNVe4elxW+/rx++9W6X59wKEM78/V7m1VMFQ6mY/mk038tNcwk0WDGVGep3wocABb6X7SerNXUNmvvabjW2tHV7vBeFd07M/tjVUzCUismfRk0p8CXQ8EYm20UgGKhBge9lU7AYn0lIFZzEuV1452VePV0wdLpURZ6moMA3nKjfCRdmUOB7mX6yymYmwa1Uh5d59Uzfg6mfRlluGm7U74SHKzMoH330ke68804NGjRI/fv31/Dhw7Vjx47E85Zlae7cuaqoqFC/fv00YcIE7d69242hICQy+WSVyUxCnFupjmyXq2bD7nsoHdDH6E+jLDdFPK120/DPavRFgwhOAsrxGZQjR45o7Nixuuaaa/TGG29o8ODB2rdvn84666zEMc8//7wWLlyol156SRdffLGeeeYZTZo0SXv37lVxcbHTQ0JI2P1klclMgtuFd17m1dMVGUrSoAF9tXn2RPXtbW72l+WmQDg4HqAsWLBAQ4YM0S9/+cvEYxdccEHivy3L0qJFi/TUU0/p5ptvliQtW7ZMZWVlWrFihe6//36nh4QQsVOwmOlsSE8BghOrSK6vLtdPpl+h771ap8NHTyYet7NcNRN2gqFn/0+10cGJxHJTICwc/z/Ra6+9ppEjR+qWW27R4MGDNWLECC1dujTxfH19vRobGzV58uTEY4WFhRo/frw2bdrU7Wu2tbWppaUl6QvIVrq0Slx5msI7p5qrralr0A9+vycpOCkd0EdPT7nE8TRLEIoMc0mLse8Q4B+Oz6B88MEHWrJkiR577DE9+eST2rp1qx555BEVFhbqrrvuUmNjoySprKws6efKysq0f//+bl+zpqZG8+bNc3qoCKmeZhLiHr1uqP7+2qEpZ0Ocaq6W6nWOHD2lh1f8UUsKIq4EKX4uMsw2LWbKsmQA9kQsy3L0I0Tfvn01cuTIpNmQRx55RNu2bdPmzZu1adMmjR07VgcPHlR5+f/+T+G+++7TgQMHtGbNmi6v2dbWpra2/10O2tLSoiFDhqi5uVklJSVODh8hku0Nq73D0rgFb6cs1IzXrWycdW2PN32nXqcn+W5k5qZMrl+qQDB+JvwyewT4XUtLi6LRqK37t+MzKOXl5aqqqkp67JJLLtFvfvMbSVIsFpMkNTY2JgUoTU1NXWZV4goLC1VYWOj0UBFy2c4kONVcze0mbUGfMbB7/ViWDPiT4zUoY8eO1d69e5Mee/fdd3X++edLkiorKxWLxbRu3brE8ydPntT69es1ZswYp4cD9Cib5YpOrSJxczVKWBqZ2bl+LEsG/MnxAOXRRx/Vli1bNH/+fL3//vtasWKFXnzxRT388MOSpEgkopkzZ2r+/PlatWqV6urq9I1vfEP9+/fX9OnTnR4O4DinVpG4tRqlvcPS3Nd2s1Pxp1iWDPiT4ymev/3bv9WqVas0e/Zsff/731dlZaUWLVqkO+64I3HME088oePHj+uhhx7SkSNHdNVVV2nt2rX0QIEvOLVpmVubny1++/0eW/iHbadiliUD/uR4kawXMimyAdwQT6FI3a8iyXQVT66vc/rrPfDp66Xzo9uH66bhn7X92m5ys5g3XoycLhDMpRgZgD15LZIFgurMm+hPpo/QD37/TlJ9Q6bN1eJ9Sc4sZs2mSVu8GNQuU2YM3C7mZRdcwJ+YQQFsSHUTfXpKlQYO6JvzJ38nZhA27zukaUu32Dq23JAZAy+X/wZ9VRPgB8ygAA7qqSnbwys6m7Llmiqx06I/nUyKPE2YMfB6+a/fG9QBYUOAAvTATz007KZsHr1uqBEzBm73gemOE4EgAG+YvSsYkGd+6qFhZ4+h8miR/v7aoZ6NqScs/wXQEwIU5I0fNm7z0000XgwqqUuQEvn0y4TUThzLfwH0hBQP8sIvBYt+u4k6uSrIbW71gQEQDAQo8JxTOwHblcsKGT/eRN0uBnWqZwnLfwH0hGXG8JQXO/iezomZGqebqfmZGzNffplNA5C7TO7fBCjwlN1eHf963xdyXm3hZI8NbqLu9ixxs5MsAHPQBwXG8qro1OnlwWHvoeH2cmuW/wI4EwEKPOVV0akbPTayvYkGYXYgHz1LAIQbAQo85VXRqSnLg4OSGjLlfAIID/qgnMYPfTn8Ll2vDsmZlRsmLA+O12ycOfMQX620pq7Btd/tNBPOJ4BwYQblU0H5pOsHXvTqyPfyYD+1yLcj3+cTQPgQoMj7vhxwv+g03z02glazke/zCSB8Qp/iSfdJV+r8pEu6Jzfdpc/iRac3Df+sRl80yNbNLZM0XHymJhZNTjvEokWuB51+rtlIdY7zeT4BhE/oZ1CC9knXRE6lz7J5nXwtD/ZrzUa6cxz25dYAvBP6GRQ/f9L1A6cKRXN5nWxmanKVbmfhiDpv/CbVbNg9x/k4nwDCJ/QBil8/6fqBU+kzP6bhvFqt5BQ/nmMAwRb6AMWPn3T9IpP0mRev4zU/1Wz49RwDCK7Q16CwOsE9TqXP/JyGy6Vmw8sOtH4+xwCCKfQBiuRNX44wcip95vc0XDYt8r3uy+P3cwwgeAhQPsXqBOc51dwrbE3C8tGXJ2znGID5Ql+DcjpWJ2QvVZ8TJwpF/VZwmot8FauG6RwD8AdmUJCQbc1DunSEE+mzsKTh8tmXJyznGIA/EKBAUvY1D3bTEU6kz8KQhst3sWoYzjEAfyBAQdY1D5luiOfEJ36nXsdUJhSrBv0cA/AHalBCLpeaB3pnOI++PADQiQAl5HIJMvKdjggiilUBoBMBSsjlEmSYkI4IIj91oAUAt1CDEnK5BBn0znCPH4pVvex0CyB8CFBCLpcgg20C3GVysarXnW4BhA8pnpDLteaBdET4xFd9nVm7FF/1taauIU8jAxAkEcuyfLd/ektLi6LRqJqbm1VSUpLv4QRCrp+Ime4Ph/YOS+MWvJ2ysDo+47Zx1rVcfwBdZHL/JsUDSbnXPJicjoBz8tnpFkC4EKAggSAD6bC0HIBXqEEBYBtLywF4hQAFgG10ugXgFQIUALbR6RaAVwhQAGSEpeUAvECRLICM+aHTLQB/I0ABkBVWfQFwEykeAABgHGZQkBU6xwIA3ESAgoyxURwAwG2keJARNooDAHiBGRTY1t5had7qPepud0lLnX0w5q3eo0lVsUCne1Klt0h7AYBzCFBgGxvFpU5v3Xh5uV77UwNpLwBwCCke2Bb2jeJSpbcamk/oZxvqSXsBgIMIUGBbmDeK6ym9lUr82Hmr96i9I5OfBAAQoMC2MG8Uly69lcrpaS8AgH0EKLAtzBvF5Zq2CmraCwDcQoCCjIR1o7hc01ZBTHsBgJtYxYOMhXGjuHh6q7H5REZ1KBF1Bm9BTHsBgJsIUJCVsG0UF09vPbh8pyKSrSAl6GkvAHATKR7AplTprfJoke6/ulLlIUt7AYCbIpZl+W79Y0tLi6LRqJqbm1VSUpLv4SBk6CQLANnJ5P5NigfIUKr0VtjSXgDgJlI8AADAOMygwDdIoQBAeBCgwBdSbdLHZnwAEEykeGC8VJv0sRkfAAQXAQqM1tMmfWzGBwDBRYACo6XbpI/N+AAgmAhQYDS7m+yxGR8ABIvrAUpNTY0ikYhmzpyZeMyyLM2dO1cVFRXq16+fJkyYoN27d7s9FPiQ3U322IwPAILF1QBl27ZtevHFF3XZZZclPf78889r4cKFWrx4sbZt26ZYLKZJkyaptbXVzeHAh+Kb9KVaTBxR52oeNuMDgGBxLUD55JNPdMcdd2jp0qUaOHBg4nHLsrRo0SI99dRTuvnmm1VdXa1ly5bp2LFjWrFihVvDgU/FN+mT1CVIYTM+AAgu1wKUhx9+WFOmTNF1112X9Hh9fb0aGxs1efLkxGOFhYUaP368Nm3a1O1rtbW1qaWlJekL4ZFqkz424wOA4HKlUdvKlSu1Y8cObd++vctzjY2NkqSysrKkx8vKyrR///5uX6+mpkbz5s1zfqDwjeuryzWpKkYnWQAICccDlAMHDmjGjBlau3atiopSFy5GIsk3FsuyujwWN3v2bD322GOJ71taWjRkyBBnBgzfYDM+AAgPxwOUHTt2qKmpSVdeeWXisfb2dm3YsEGLFy/W3r17JXXOpJSX/+/UfFNTU5dZlbjCwkIVFhY6PVQAAGAox2tQJk6cqF27dqm2tjbxNXLkSN1xxx2qra3VhRdeqFgspnXr1iV+5uTJk1q/fr3GjBnj9HAAAIAPOT6DUlxcrOrq6qTHBgwYoEGDBiUenzlzpubPn6+hQ4dq6NChmj9/vvr376/p06c7PRwAAOBDednN+IknntDx48f10EMP6ciRI7rqqqu0du1aFRcX52M4AADAMBHLsny3y1pLS4ui0aiam5tVUlKS7+EAAAAbMrl/sxcPAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwDgEKAAAwTu98DwD+0t5haWv9YTW1ntDg4iKNqixVr4JIvocFAAgYAhTYtqauQfNW71FD84nEY+XRIs2ZWqXrq8vzODIAQNCQ4oEta+oa9ODynUnBiSQ1Np/Qg8t3ak1dQ55GBgAIIgIUpNXeYWne6j2yunku/ti81XvU3tHdEQAAZI4ABWltrT/cZebkdJakhuYT2lp/2LtBAQACjQAFaTW1pg5OsjkOAIB0CFCQ1uDiIkePAwAgHQIUpDWqslTl0SKlWkwcUedqnlGVpV4OCwAQYAQoSKtXQURzplZJUpcgJf79nKlV9EMBADiGAAW2XF9driV3XqFYNDmNE4sWacmdV9AHBQDgKBq1wbbrq8s1qSpGJ1kAgOsIUJCRXgURjb5oUL6HAQAIOFI8AADAOAQoAADAOAQoAADAOAQoAADAOAQoAADAOAQoAADAOAQoAADAOAQoAADAOAQoAADAOL7sJGtZliSppaUlzyMBAAB2xe/b8ft4T3wZoLS2tkqShgwZkueRAACATLW2tioajfZ4TMSyE8YYpqOjQwcPHlRxcbEiETaqO11LS4uGDBmiAwcOqKSkJN/DCT2uh1m4HmbhepjDq2thWZZaW1tVUVGhgoKeq0x8OYNSUFCgc889N9/DMFpJSQn/4A3C9TAL18MsXA9zeHEt0s2cxFEkCwAAjEOAAgAAjEOAEjCFhYWaM2eOCgsL8z0UiOthGq6HWbge5jDxWviySBYAAAQbMygAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCg+tWTJEl122WWJpjqjR4/WG2+8kXjesizNnTtXFRUV6tevnyZMmKDdu3fnccThUVNTo0gkopkzZyYe43p4Z+7cuYpEIklfsVgs8TzXwnsfffSR7rzzTg0aNEj9+/fX8OHDtWPHjsTzXBPvXHDBBV3+fUQiET388MOSzLoWBCg+de655+q5557T9u3btX37dl177bW66aabEn9Izz//vBYuXKjFixdr27ZtisVimjRpUmIfI7hj27ZtevHFF3XZZZclPc718Nall16qhoaGxNeuXbsSz3EtvHXkyBGNHTtWffr00RtvvKE9e/bon/7pn3TWWWcljuGaeGfbtm1J/zbWrVsnSbrlllskGXYtLATGwIEDrZ///OdWR0eHFYvFrOeeey7x3IkTJ6xoNGq98MILeRxhsLW2tlpDhw611q1bZ40fP96aMWOGZVkW18Njc+bMsS6//PJun+NaeG/WrFnWuHHjUj7PNcmvGTNmWBdddJHV0dFh3LVgBiUA2tvbtXLlSh09elSjR49WfX29GhsbNXny5MQxhYWFGj9+vDZt2pTHkQbbww8/rClTpui6665Lepzr4b333ntPFRUVqqys1O23364PPvhAEtciH1577TWNHDlSt9xyiwYPHqwRI0Zo6dKliee5Jvlz8uRJLV++XPfcc48ikYhx14IAxcd27dqlz3zmMyosLNQDDzygVatWqaqqSo2NjZKksrKypOPLysoSz8FZK1eu1I4dO1RTU9PlOa6Ht6666ir96le/0ptvvqmlS5eqsbFRY8aM0aFDh7gWefDBBx9oyZIlGjp0qN5880098MADeuSRR/SrX/1KEv8+8umVV17Rxx9/rG984xuSzLsWvtzNGJ3+5m/+RrW1tfr444/1m9/8RnfffbfWr1+feD4SiSQdb1lWl8eQuwMHDmjGjBlau3atioqKUh7H9fDGl7/85cR/Dxs2TKNHj9ZFF12kZcuW6Qtf+IIkroWXOjo6NHLkSM2fP1+SNGLECO3evVtLlizRXXfdlTiOa+K9X/ziF/ryl7+sioqKpMdNuRbMoPhY37599bnPfU4jR45UTU2NLr/8cv3oRz9KrFg4M+JtamrqEhkjdzt27FBTU5OuvPJK9e7dW71799b69ev1z//8z+rdu3finHM98mPAgAEaNmyY3nvvPf5t5EF5ebmqqqqSHrvkkkv0X//1X5LENcmT/fv366233tLf/d3fJR4z7VoQoASIZVlqa2tTZWWlYrFYojpb6sw1rl+/XmPGjMnjCINp4sSJ2rVrl2praxNfI0eO1B133KHa2lpdeOGFXI88amtr0zvvvKPy8nL+beTB2LFjtXfv3qTH3n33XZ1//vmSxDXJk1/+8pcaPHiwpkyZknjMuGvheVkuHDF79mxrw4YNVn19vfXnP//ZevLJJ62CggJr7dq1lmVZ1nPPPWdFo1Hrt7/9rbVr1y5r2rRpVnl5udXS0pLnkYfD6at4LIvr4aXHH3/c+o//+A/rgw8+sLZs2WLdcMMNVnFxsfXhhx9alsW18NrWrVut3r17W88++6z13nvvWb/+9a+t/v37W8uXL08cwzXxVnt7u3XeeedZs2bN6vKcSdeCAMWn7rnnHuv888+3+vbta51zzjnWxIkTE8GJZXUu3ZszZ44Vi8WswsJC6+qrr7Z27dqVxxGHy5kBCtfDO7fddptVXl5u9enTx6qoqLBuvvlma/fu3YnnuRbeW716tVVdXW0VFhZan//8560XX3wx6XmuibfefPNNS5K1d+/eLs+ZdC0ilmVZ3s/bAAAApEYNCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMA4BCgAAMM7/B1tOrREM+7DZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 载入数据\n",
    "data=np.genfromtxt(\"data.csv\",delimiter=\",\")\n",
    "x_data=data[:,0]\n",
    "y_data=data[:,1]\n",
    "plt.scatter(x_data,y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "62fd300d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100,)\n"
     ]
    }
   ],
   "source": [
    "print(x_data.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "55be5b42",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 创建并拟合模型\n",
    "# 直接执行以下建模会报错，因为x_data只有一个列，是一个一维的数据\n",
    "# 使用np.newaxis方法添加一个维度\n",
    "x_data=data[:,0,np.newaxis]\n",
    "y_data=data[:,1,np.newaxis]\n",
    "model=LinearRegression()\n",
    "model.fit(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3e32fd79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x_data,y_data,'b.')\n",
    "plt.plot(x_data,model.predict(x_data),'r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6f4d24c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 多元线性回归，"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
